1351406250000 has 495 divisors, whose sum is σ = 4884997458549. Its totient is φ = 348750000000.

The previous prime is 1351406249957. The next prime is 1351406250037. The reversal of 1351406250000 is 526041531.

The square root of 1351406250000 is 1162500.

It is a perfect power (a square), and thus also a powerful number.

1351406250000 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 406 + 250 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 7772890896 + 1343633359104 = 88164^2 + 1159152^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 43593749985 + ... + 43593750015.

Almost surely, 2^{1351406250000} is an apocalyptic number.

1351406250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1351406250000 is the 1162500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351406250000

1351406250000 is an abundant number, since it is smaller than the sum of its proper divisors (3533591208549).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1351406250000 is an frugal number, since it uses more digits than its factorization.

1351406250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

1351406250000 divided by its product of nonzero digits (3600) gives a square (375390625 = 19375²).

The spelling of 1351406250000 in words is "one trillion, three hundred fifty-one billion, four hundred six million, two hundred fifty thousand".